• DocumentCode
    1173754
  • Title

    The computation of the Kth derivative of polynomials and rational functions in factored form and related matters

  • Author

    Linnér, L. J Peter

  • Volume
    21
  • Issue
    2
  • fYear
    1974
  • fDate
    3/1/1974 12:00:00 AM
  • Firstpage
    233
  • Lastpage
    236
  • Abstract
    Brugia´s work on the noniterative computation of high order derivatives of rational functions with application to multiple-pole fraction expansion is simplified by the use of operators. The formulas for the derivatives are given in a recursive scheme and finally the Laurent expansion is developed and applied to the partial fraction expansion of improper rational functions.
  • Keywords
    Computation and optimization algorithms; Numerical methods; Polynomials; Rational functions; Circuits; Computational efficiency; Computer networks; Equations; Filters; Performance analysis; Poles and zeros; Polynomials; Roundoff errors; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1974.1083830
  • Filename
    1083830